ANSWER
Students = 110
Teachers = 22
EXPLANATION
Let the number of students be s.
Let the number of teachers be t.
There are 5 times as many students as teachers. This means that:
[tex]\begin{gathered} s=5\cdot t \\ s=5t \end{gathered}[/tex]The sum of students and teachers is 132. This means that:
[tex]s+t=132[/tex]We can solve this by substitution. To do this, substitute the first equation into the second.
That is:
[tex]\begin{gathered} 5t+t=132 \\ 6t=132 \\ \text{Divide both sides by 6:} \\ \frac{6t}{6}=\frac{132}{6} \\ t=22 \end{gathered}[/tex]Recall that:
[tex]\begin{gathered} s=5t \\ \Rightarrow s=5\cdot22 \\ s=110 \end{gathered}[/tex]Therefore, there are 110 students and 22 teachers.
